2018 CHS - Sec 4 Math Prelim Exam P1 - QUESTION PAPER AND ANS

1 CHS Preliminary Examination 2018 [TURN OVER Name: Index Number: Class: CATHOLIC HIGH SCHOOL Preliminary Examination Secondary 4 (O-Level Programme) MATHEMATICS 4048/01 Paper 1 113 SEPTEMBER 2018 2 hours Candidates answer in the space provided on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, register number and class on all the work you hand in. Write in dark blue or black pen. You may use a soft pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. DO NOT WRITE ON THE MARGINS. Answer all questions. If working is needed for any question, it must be shown with the answer. Omission of essential working will result in loss of marks. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question, and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For  , use either your calculator value or 3.142, unless the question requires the answer in terms of  . At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 80. This document consists of 23 printed pages. For Examiner’s Use only 80

2 CHS Preliminary Examination 2018 [TURN OVER Mathematical Formulae Compound interest Total amount = nrP       1001 Mensuration Curved surface area of a cone = lr  Surface area of a sphere = 2 4 r Volume of a cone = hr 3 1 2 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cba sin 2 1 Arc length = r , where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry C c B b A a sin sin sin  Acbcba cos 2 222  Statistics Mean =   f xf Standard deviation = 22           f xf f xf

3 CHS Preliminary Examination 2018 [TURN OVER Answer all the questions. 1 Given that   1 233 27 9 x  , find the value of x. Answer x = [1] 2 A conical container has base radius of 5.8 cm and a capacity of 1.2 litres. Calculate the height of the container. Answer cm [1]

4 CHS Preliminary Examination 2018 [TURN OVER 3 14 men were hired to work 8 hours per day to complete a renovation job in 20 days. At the end of the 3 rd day, x workers became sick and were hospitalised. Assume that all workers work at the same rate. On average, how many hours must each of the remaining men work for the remaining days in order to complete the job? Leave your answer in terms of x. Answer hours [2] 4 Find the sum of the angles a, b, c, d, e, f and g. A